On the existence of monotone selections
AbstractFor a correspondence from a partially ordered set to a lattice, three sets of sufficient conditions for the existence of a monotone selection are obtained. (1) The correspondence is weakly ascending while each value is chain-complete. (2) The correspondence is ascending while the target is a sublattice of the Cartesian product of a finite number of chains. (3) Both source and target are chains while the correspondence is generated by the maximization of a strongly acyclic interval order with the single crossing property. The theorems give new sufficient conditions for the existence of (epsilon) Nash equilibria.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 14451.
Date of creation: 03 Apr 2009
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Monotone selection; (weakly) ascending correspondence; interval order; single crossing; (epsilon) Nash equilibrium;
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- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
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